Two Ways to Solve ASEP

DOI10.1007/978-1-4939-0339-9_1zbMath1329.82077arXiv1212.2267OpenAlexW1762217095MaRDI QIDQ3463638

Ivan Corwin

Publication date: 19 January 2016

Published in: Topics in Percolative and Disordered Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.2267

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Exactly solvable dynamic models in time-dependent statistical mechanics (82C23)

Related Items (10)

Stochastic six-vertex model ⋮ Harold Widom’s work in random matrix theory ⋮ A generalized asymmetric exclusion process with \(U_q(\mathfrak {sl}_2)\) stochastic duality ⋮ Stochastic PDE limit of the six vertex model ⋮ Some conditional probabilities in the TASEP with second class particles ⋮ Current fluctuations of the stationary ASEP and six-vertex model ⋮ Orthogonal stochastic duality functions from Lie algebra representations ⋮ \(q\)-orthogonal dualities for asymmetric particle systems ⋮ Transversal fluctuations of the ASEP, stochastic six vertex model, and Hall-Littlewood Gibbsian line ensembles ⋮ Height fluctuations for the stationary KPZ equation

Cites Work

• Current moments of 1D ASEP by duality
• Yang's system of particles and Hecke algebras
• Interacting particle systems. With a new postface.
• Integral formulas for the asymmetric simple exclusion process
• A Fredholm determinant representation in ASEP
• Asymptotics in ASEP with step initial condition
• Convergence towards Burger's equation and propagation of chaos for weakly asymmetric exclusion processes
• Interaction of Markov processes
• Exact solution of the master equation for the asymmetric exclusion process
• Duality relations for asymmetric exclusion processes
• Stochastic Burgers and KPZ equations from particle systems
• Shape fluctuations and random matrices
• Orthogonality and completeness of the Bethe Ansatz eigenstates of the nonlinear Schrödinger model
• Macdonald processes
• The propagator of the attractive delta-Bose gas in one dimension
• Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions
• Dynamic Scaling of Growing Interfaces
• The dynamics of the one-dimensional delta-function Bose gas
• Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State
• Beiträge zur Theorie der Heineschen Reihen. Die 24 Integrale der hypergeometrischen q‐Differenzengleichung. Das q‐Analogon der Laplace‐Transformation
• The crossover regime for the weakly asymmetric simple exclusion process

This page was built for publication: Two Ways to Solve ASEP